Register to reply

Balls in a bin (w/ a twist)

by prov_in_stl
Tags: balls, twist, w or
Share this thread:
prov_in_stl
#1
Nov21-11, 12:37 AM
P: 2
I have a 15 balls and 8 bins. Each bin can only hold 4 balls. If throw the 15 balls in the bins (random) and all the balls land in the bins, how do i find the distribution of balls/bin. eg. #4 bins with 3 balls, #1 bin with 1 ball etc.

Thanks!
Phys.Org News Partner Science news on Phys.org
Wildfires and other burns play bigger role in climate change, professor finds
SR Labs research to expose BadUSB next week in Vegas
New study advances 'DNA revolution,' tells butterflies' evolutionary history
HallsofIvy
#2
Nov21-11, 07:04 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,363
You will need to find the total number of ways that you can have 8 numbers, each at least 1, none larger than 4, that add to 15.
prov_in_stl
#3
Nov21-11, 10:27 PM
P: 2
Yes. I should have mentioned that I figure that part out but was wondering if there was a simplified formula to do the same? Because, I would also have to be able to count the number of times each integer between 1 and 4 occurs in the this combination.

Any help would be appreciated.


Register to reply

Related Discussions
To build a triangular pile consisting of 120 balls, the number of balls in the base w Precalculus Mathematics Homework 7
Tate Twist Linear & Abstract Algebra 0
The annoying old 0.999... vs 1, hopefully with a twist Calculus 9
Red Balls, Green Balls and Expectations Set Theory, Logic, Probability, Statistics 2
Science with a twist General Physics 2